Twisted conjugacy classes, coadjoint orbits of loop groups and D-branes in the WZW-model

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dc.creatorMohrdieck, Stephan
dc.creatorWendt, Robert
dc.date2003-03-10
dc.date2004-01-19
dc.date.accessioned2026-07-07T04:55:54Z
dc.date.available2026-07-07T04:55:54Z
dc.descriptionWe show that untwisted respectively twisted conjugacy classes of a compact and simply connected Lie group which satisfy a certain integrality condition correspond naturally to irreducible highest weight representations of the corresponding affine Lie algebra. Along the way, review the classification of twisted conjugacy classes of a simply connected compact Lie group $G$ and give a description of their stabilizers in terms of the Dynkin diagram of the corresponding twisted affine Lie algebra.
dc.description15 pages, totally new version, mistake corrected, to appear under the title "Integral conjugacy classes of compact Lie groups" in Manuscripta Mathematica
dc.identifierhttps://arxiv.org/abs/math/0303118
dc.identifierhttp://arxiv.org/abs/math/0303118
dc.identifiermanuscripta math., 114, 531-547 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66746
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subject22E46;22E67;81R10
dc.titleTwisted conjugacy classes, coadjoint orbits of loop groups and D-branes in the WZW-model
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